Question

You are tasked with analyzing a design that has been drawn for a bridge over an existing two-lane road. The arch over the road is in the shape of a half-ellipse that is 40 feet wide at the base of the arch and it is 15 feet tall at the center of the arch. The bridge must have a 13-foot clearance for vehicles on the road. The 22-foot-wide road is centered directly beneath the highest point of the arch. A) i"ll send a pictureb. Using the equation listed as an answer for part (a), convert it to an inequality that defines the set of ordered pairs in the coordinate plane that could freely pass beneath the bridge

Answer 1

From the equation given

The inequality that defines the set of ordered pairs in the coordinate plane becomes

`(x^(2))/(400)+(y^(2))/(225)<1\ \left\{y\ge0\right\}`

The graph for this shown below.